The paper is devoted to a study of the peristaltic motion of blood in the micro-circulatory system. The vessel is considered to be of varying cross-section. The progressive peristaltic waves are taken to be of sinusoidal nature. Blood is considered to be a Herschel-Bulkley fluid. Of particular concern here is to investigate the effects of amplitude ratio, mean pressure gradient, yield stress, and the power law index on the velocity distribution, streamline pattern, and wall shear stress. On the basis of the derived analytical expressions, extensive numerical calculations have been made. The study reveals that velocity of blood and wall shear stress are appreciably affected due to the nonuniform geometry of blood vessels. They are also highly sensitive to the magnitude of the amplitude ratio and the value of the fluid index.
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November 2012
Research Papers
Peristaltic Pumping of Blood Through Small Vessels of Varying Cross-Section
J. C. Misra,
J. C. Misra
Professor
Department of Mathematics, Institute of Technical Education and Research,
e-mail: misrajc@rediffmail.com
Siksha O Anusandhan University
, Bhubaneswar 751030, India
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S. Maiti
S. Maiti
School of Medical Science and Technology, and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302,
e-mail: somnathm@cts.iitkgp.ernet.in
India
Search for other works by this author on:
J. C. Misra
Professor
Department of Mathematics, Institute of Technical Education and Research,
Siksha O Anusandhan University
, Bhubaneswar 751030, India
e-mail: misrajc@rediffmail.com
S. Maiti
School of Medical Science and Technology, and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302,
India
e-mail: somnathm@cts.iitkgp.ernet.in
J. Appl. Mech. Nov 2012, 79(6): 061003 (19 pages)
Published Online: September 13, 2012
Article history
Received:
June 8, 2010
Revised:
March 22, 2012
Posted:
April 18, 2012
Published:
September 13, 2012
Online:
September 13, 2012
Citation
Misra, J. C., and Maiti, S. (September 13, 2012). "Peristaltic Pumping of Blood Through Small Vessels of Varying Cross-Section." ASME. J. Appl. Mech. November 2012; 79(6): 061003. https://doi.org/10.1115/1.4006635
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